(I.e. what you're saying seems to be that for a $100 item that they charged $5 to ship previously, they will now be charging $5.25. Hard to complain about that.)
An example they give is of a small, standard 6-oz package where the fee will increase from $2.92 to $3.07.
[0]https://sellercentral.amazon.com/gp/help/external/GABBX6GZPA...
For fulfilment? That's extremely heavily dependent on three things: fuel, amortized vehicle costs, and labor. Major drivers of inflation before the invasion were tight labor market in the post-COVID rebound, vehicle costs, and fuel, and the invasion added further pressure on fuel, so, yeah, I’m going to say it's perfectly reasonable to expect that fulfillment costs have gone up in relation to finished consumer goods before fulfillment.
With logistics companies it's typically easier to identify the incremental surcharge, as at first glance they've blended it as fee increases.
I don't think that this is the case. If I sell XYZ product and my costs increased by 4% so I raise prices by 4%. Fuel costs for Amazon increased by 18%. The prices of the goods wouldn't necessarily offset what Amazon makes. And now you have to generalize this across all products they sell and all of their global logistical considerations...
Them increasing the size of the percentage-based cut suggests that the work Amazon does (logistics, selling access to the users' eyeballs) would be more sensitive to inflation than what the manufacturers and sellers do. Seems unlikely.